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FA-15810 / Numerics / Member archive

Singular hensel root tree: root residue digit placement · case 05

The exact singular hensel root tree result violates the stated contract at root residue digit placement.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

Input [polynomial coefficients,p,k], p prime and k>=1; enumerate all roots modulo p^k, including singular roots.

Why this case matters

Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixtureActualExpectedOutcome
explicit oracle 0[[0], 27][[0, 9, 18], 27]Failed

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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

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